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Finding the Third Proportional to 508,274 and 745,431

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Solution

The third proportional to 508,274 and 745,431 is: 1,093,243.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,274 : 745,431 = 745,431 : x
  2. Step 2: Convert to fraction form
    508,274/745,431 = 745,431/x
  3. Step 3: Cross multiply
    508,274x = 745,431 × 745,431
  4. Step 4: Simplify right side
    508,274x = 555,667,375,761
  5. Step 5: Solve for x
    x = 555,667,375,761/508,274
  6. Step 6: Final answer
    x = 1,093,243.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.